%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET887+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6ycBWAbkD4 true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:53:05 PM UTC 2025
% Result : Theorem 0.53s 0.88s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 64 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 145 ( 118 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 396 ( 45 ~; 67 |; 9 &; 270 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t28_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ ( unordered_pair @ A @ B ) @ ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ ( unordered_pair @ A @ B ) @ ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ),
inference('cnf.neg',[status(esa)],[t28_zfmisc_1]) ).
thf(zip_derived_cl20,plain,
subset @ ( unordered_pair @ sk__4 @ sk__5 ) @ ( unordered_pair @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l46_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ ( unordered_pair @ B @ C ) )
<=> ~ ( ( A != empty_set )
& ( A
!= ( singleton @ B ) )
& ( A
!= ( singleton @ C ) )
& ( A
!= ( unordered_pair @ B @ C ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( unordered_pair @ X0 @ X1 ) )
| ( X2
= ( singleton @ X1 ) )
| ( X2
= ( singleton @ X0 ) )
| ( X2 = empty_set )
| ~ ( subset @ X2 @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( unordered_pair @ sk__4 @ sk__5 )
!= X0 )
| ( ( unordered_pair @ sk__6 @ sk__7 )
!= ( unordered_pair @ X2 @ X1 ) )
| ( X0 = empty_set )
| ( X0
= ( singleton @ X2 ) )
| ( X0
= ( singleton @ X1 ) )
| ( X0
= ( unordered_pair @ X2 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ X1 @ X0 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ X0 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ X1 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__6 @ sk__7 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl133,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ sk__6 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ sk__7 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl104]) ).
thf(t8_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( singleton @ X1 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t8_zfmisc_1]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ sk__6 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__7 = X1 )
| ( ( unordered_pair @ sk__4 @ sk__5 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl23]) ).
thf(zip_derived_cl140,plain,
( ( sk__7 = sk__4 )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ sk__6 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl21,plain,
sk__4 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl141,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( singleton @ sk__6 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl140,zip_derived_cl21]) ).
thf(zip_derived_cl23_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( singleton @ X1 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t8_zfmisc_1]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__6 = X1 )
| ( ( unordered_pair @ sk__4 @ sk__5 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl23]) ).
thf(zip_derived_cl150,plain,
( ( sk__6 = sk__4 )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl22,plain,
sk__4 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl151,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl150,zip_derived_cl22]) ).
thf(zip_derived_cl151_002,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__6 @ sk__7 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl150,zip_derived_cl22]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl154,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( in @ sk__7 @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl107]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl175,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__7 = sk__5 )
| ( sk__7 = sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl103]) ).
thf(zip_derived_cl21_003,plain,
sk__4 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl176,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__7 = sk__5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl175,zip_derived_cl21]) ).
thf(zip_derived_cl107_004,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl178,plain,
( ( sk__7 = sk__5 )
| ( in @ sk__5 @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl107]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl196,plain,
sk__7 = sk__5,
inference(clc,[status(thm)],[zip_derived_cl178,zip_derived_cl82]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl200,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl196,zip_derived_cl1]) ).
thf(zip_derived_cl200_005,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl196,zip_derived_cl1]) ).
thf(zip_derived_cl107_006,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl207,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( in @ sk__6 @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl107]) ).
thf(zip_derived_cl103_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl220,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__6 = sk__5 )
| ( sk__6 = sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl103]) ).
thf(zip_derived_cl22_008,plain,
sk__4 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__6 = sk__5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl220,zip_derived_cl22]) ).
thf(zip_derived_cl107_009,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl230,plain,
( ( sk__6 = sk__5 )
| ( in @ sk__5 @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl107]) ).
thf(zip_derived_cl82_010,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl276,plain,
sk__6 = sk__5,
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl82]) ).
thf(zip_derived_cl281,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= ( unordered_pair @ sk__5 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl276]) ).
thf(t10_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( ( unordered_pair @ A @ B )
= ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ( ( unordered_pair @ X1 @ X3 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t10_zfmisc_1]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( X1 = sk__5 )
| ( X1 = sk__5 )
| ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl19]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ sk__4 @ sk__5 ) )
| ( X1 = sk__5 )
| ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl327,plain,
( ( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set )
| ( sk__4 = sk__5 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl21_011,plain,
sk__4 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_012,plain,
sk__7 = sk__5,
inference(clc,[status(thm)],[zip_derived_cl178,zip_derived_cl82]) ).
thf(zip_derived_cl197,plain,
sk__4 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl196]) ).
thf(zip_derived_cl328,plain,
( ( unordered_pair @ sk__4 @ sk__5 )
= empty_set ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl327,zip_derived_cl197]) ).
thf(zip_derived_cl107_013,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl332,plain,
in @ sk__5 @ empty_set,
inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl107]) ).
thf(zip_derived_cl82_014,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl349,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET887+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6ycBWAbkD4 true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:05:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.88 % Solved by fo/fo6_bce.sh.
% 0.53/0.88 % BCE start: 24
% 0.53/0.88 % BCE eliminated: 3
% 0.53/0.88 % PE start: 21
% 0.53/0.88 logic: eq
% 0.53/0.88 % PE eliminated: 2
% 0.53/0.88 % done 110 iterations in 0.114s
% 0.53/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.88 % SZS output start Refutation
% See solution above
% 0.53/0.88
% 0.53/0.88
% 0.53/0.88 % Terminating...
% 1.89/0.95 % Runner terminated.
% 1.89/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------